Capacitance of a capacitor is given by:

Capacitance of a capacitor is given by:
| Capacitance of a capacitor is given by:

A. <span class="math-tex">\({\rm{C}} = \frac{{{{\rm{\varepsilon }}_0}{\varepsilon _r}d}}{A}\)</span>

B. <span class="math-tex">\(C = \frac{{\mu A}}{d}\)</span>

C. <span class="math-tex">\(C = \frac{A}{d}\)</span>

D. <span class="math-tex">\({\rm{C}} = \frac{{{{\rm{\varepsilon }}_0}{\varepsilon _r}A}}{d}\)</span>

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Right Answer is: D

SOLUTION

Parallel plate capacitor:

Parallel plate capacitors are the type of capacitors that have an arrangement of electrodes and insulating material (dielectric). The two conducting plates act as electrodes. There is a dielectric between them. This acts as a separator for the plates.

The capacitance for a parallel plate capacitor is given by

\(C = \frac{{A\epsilon}}{d}\)

Where ϵ = ϵ0ϵr

ϵ0 = permittivity of vacuum

ϵr = relative permittivity

A = area of the plate

d = gap between the plate